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Finding the Fourth Proportional to 285,893.55, 428,701.68 and 86,176.71

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Solution

The fourth proportional to 285,893.55, 428,701.68 and 86,176.71 is: 129,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,893.55 : 428,701.68 = 86,176.71 : x
  2. Step 2: Convert to fraction form
    285,893.55/428,701.68 = 86,176.71/x
  3. Step 3: Cross multiply
    285,893.55x = 428,701.68 × 86,176.71
  4. Step 4: Simplify right side
    285,893.55x = 36,944,100,353.87
  5. Step 5: Solve for x
    x = 36,944,100,353.87/285,893.55
  6. Step 6: Final answer
    x = 129,223.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.